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3 years ago

Find the value of y. Round to the nearest tenths place.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Are there any options on the test or homework

ale4655 [162]3 years ago

4 0

Answer:

y = 12

Step-by-step explanation:

Look at the left triangle first. Opposite the 30 degree angle (not shown) is the shortest side, which (according to the sine function) is half the hypotenuse, or 2√3. Then (2√3)² + x² = (4√3)², or

4(3) + x² = 16(3). Thus, x² = 16(3) - 4(3) = 12(3) = 36, and so x = 6. Again using the sine function, we find that x = 2y = 6, so, using the sine function, we find that sin 30° = 6/y. Thus y = 6 / (2/1) = 12 = y

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HELP ME HELP ME please !!! 10 points

USPshnik [31]

Answer:

The slope is $\frac{3}{2}$

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ $m=\frac{15-12}{4-2}=\frac{3}{2}$

∴ m = $\frac{3}{2}$

∴ The slope is $\frac{3}{2}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{3}{2}$ x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = $\frac{3}{2}$ (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

6 0

3 years ago

Kenya bought 5 pool noodles at $1.99 each, a unicorn

vampirchik [111]

Answer:74.04

Step-by-step explanation:

8 0

3 years ago

While on vacation Craig bought a pair of sunglasses for $15.98 for $7.99 5 postcards and a beach towel the beach towel cost 0.50

NISA [10]

Answer:

$0.79.

Step-by-step explanation:

Let T= The price of beach towel,

P = The cost of each postcard.

S = The cost of sunglasses.

H = The cost of hat.

We have been given that while on vacation Craig bought a pair of sunglasses for $15.98. The beach towel cost 0.50 cents more than half the price of sunglasses.

We can set this information in an equation as:

$T=\frac{15.98}{2}+0.50$

$T=7.99+0.50$

$T=8.49$

We are told that Craig gave the cashier $40 and got 3.59 change and each postcard cost the same. So we can set this information in an equation as:

$T+5P+S+H=40-3.59$

Let us substitute our given values.

$8.49+5P+15.98+7.99=40-3.59$

Let us combine like terms.

$32.46+5P=36.41$

Let us subtract 32.46 from both sides of our equation.

$32.46-32.46+5P=36.41-32.46$

$5P=3.95$

Let us divide both sides of our equation by 5.

$\frac{5P}{5}=\frac{3.95}{5}$

$P=0.79$

Therefore, each postcard costs $0.79.

5 0

3 years ago

Find the product: (1.2) · (0.11)

Lina20 [59]

Answer:

The answer is 0.132

Step-by-step explanation:

12/10*11/100

132/1000

=0.132

7 0

3 years ago

Read 2 more answers

Which products result in a perfect square trinomial? Check all that apply.

xxTIMURxx [149]

(-x+9)(-x-9) - prefect square
(xy + x)(xy + x) - perfect square
(2x-3)(-3+2x) - not a perfect square
(16- x²)(x2 – 16) - not a perfect square
(4y? +25)(25+4y?) - not a perfect square

6 0

4 years ago